No hot water from any faucet
Gas hot water heater and copper pipes.
Two days ago, suddenly, we have no water at all when we turn on any hot water faucet but cold works fine throughout the house. I checked pipes and none are broken or cracked. I tried to drain or flush the hot water heater (connected hose to drain spigot on WH, other end in tub) and no water came out when I opened it. I turned on the hot water in bathroom (closest to WH) to releave pressure and nothing. Turned on cold in bathroom and hot water trickled out of the hose. I ran it like this for 30 minutes to try to flush the WH. Only the first few seconds was there any black particles, the rest was clear. The hot pipe leaving the WH was cold to the touch.
Today I tried to open the pressure releif valve (had to find something to fit in space to catch water) and air is released, valve gets hot, but no water comes out. If I open the drain valve (with hose same as above) and then open the pressure releif valve, water flows hot from the hose, still nothing from the pressure releif valve. The hot water pipe leaving the WH now gets hot but still no water from the faucets. Nothing at all.
Turned off cold water supply, opened releif valve and drained WH. Then turned on cold water supply to refill, hot water pipe going out gets hot, still no water at all from hot water faucets.
I am at the point that I think I need a new water heater (several years old and have not maintained it as recommended, oops) but I wanted to get some opinions first since it is still heating water fine, just not getting to the faucets.
Thank you and happy holidays!